Representations of W-algebras with two generators and new rational models

authored by

W. Eholzer, M. Flohr, A. Honecker, R. Hübel, W. Nahm, R. Varnhagen

Abstract

In conformal field theory we investigate the representations of recently discovered W-algebras with a single generator in addition to the Virasoro field. We show that many of these W-algebras have only a finite number of highest-weight representations. We describe methods for the classification and give complete lists. In a sporadic case we determine characters and fusion rules. Different methods are used for W-algebras with continuously variable and for those with fixed central extension.

External Organisation(s)

University of Bonn

Type

Article

Journal

Nuclear Physics, Section B

Volume

383

Pages

249-288

No. of pages

40

ISSN

0550-3213

Publication date

21.09.1992

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Electronic version(s)

https://doi.org/10.1016/0550-3213(92)90679-6 (Access: Closed)